Title: An Explicit Construction of the Grothendieck Residue Complex (with appendix by P. Sastry)

Publication status: The paper appeared as a volume in Astérisque 208 (1992).

Let X be a reduced scheme of finite type over a perfect field k. The residue complex K_{X} is the Cousin complex associated to \pi^{!} k, where \pi : X --> k is the structural morphism (as in "Residues and Duality"). In this manuscript we give an explicit construction of this complex. The method used is the theory of high dimensional local fields and residues, due to Parshin and Lomadze. This method is enhanced here, combined with Beilinson completions.

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10 April 2020